Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Please recommend books on numerical approach to NLS

  1. Jun 30, 2007 #1
    Hi all.
    Could you please recommend some nice books on numerical approach to NLS or introduction to NLS in general?
    I don't have a strong background in numerical methods nor any prior knowldege in NLS or quantum mechanics. So, perhaps an introductory book would be suitable at this stage.
    Thanks.
     
  2. jcsd
  3. Jul 15, 2007 #2

    Astronuc

    User Avatar

    Staff: Mentor

    By NLS, does one mean Non-linear Schrödinger equation, as opposed to Non-Linear Systems? If so, then these might be of interest.

    Numerical Methods for the Nonlinear Schrödinger Equation with Nonzero Far-field Conditions
    http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.maa/1147353060

    Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations

    Interesting paper
    THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION - 20 YEARS ON
    http://www.ma.hw.ac.uk/~chris/em02.pdf

    An interesting course
    Solitons and Nonlinear Waves
    http://www.amath.washington.edu/courses/573-autumn-2006/


    On book might be of interest -
    Mathematical Modeling in Continuum Mechanics
    UK - http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521617239&ss=toc
    US - http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=9780521617239&ss=toc
    Also available through Amazon.
    http://assets.cambridge.org/97805216/17239/toc/9780521617239_toc.pdf

    Chapter 20 - NLS
     
    Last edited: Jul 15, 2007
  4. Jul 27, 2007 #3
    thanks.
    but is there any more introductory level books? I am completely new to this field.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Please recommend books on numerical approach to NLS
Loading...